US4375013A - Device for digit rate reduction of PCM-signals - Google Patents

Device for digit rate reduction of PCM-signals Download PDF

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US4375013A
US4375013A US06/171,946 US17194680A US4375013A US 4375013 A US4375013 A US 4375013A US 17194680 A US17194680 A US 17194680A US 4375013 A US4375013 A US 4375013A
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signal
output
stage
coefficients
predictor
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Denis Cointot
Patrice Langlois
Guy de Passoz
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Societe Anonyme de Telecommunications SAT
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    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M3/00—Conversion of analogue values to or from differential modulation
    • H03M3/04—Differential modulation with several bits, e.g. differential pulse code modulation [DPCM]
    • H03M3/042—Differential modulation with several bits, e.g. differential pulse code modulation [DPCM] with adaptable step size, e.g. adaptive differential pulse code modulation [ADPCM]

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  • the present invention relates to a device for digit rate reduction of PCM-signals.
  • PCM coding is well known. It comprises the steps of sampling analog signals at a so-called sampling frequency and quantizing, according to a logarithmic law, the samples at a rate of 8 binary elements per sample. Such a coding procedure has the drawback of requiring a high digit rate for achieving the quality required by the consumer, as it fails to exploit the statistical properties of the signal to be transmitted.
  • Digit rate reducing systems have already been described in the prior art. They allow a compression of the digit rate by utilizing, for the transmission of a sample of the signal, the knowledge acquired during the transmission of the preceding samples.
  • a system of this type has been described in an article by Mr. DIETRICH at the Zurich Seminar 1974.
  • This system consists in an assembly of three cascade-connected stages.
  • the first stage called predictor stage, enables the PCM input to be replaced by a signal d n representing the difference between the PCM input signal and the predicted value of this sample as derived from the preceding sample.
  • the second stage called automatic gain compression stage, the amplitude of the difference signal d n from the first stage is divided by an estimator of the mean power of the signal.
  • a third stage effects the optimum coding from the memorized quantizing characteristics which are best adapted to the conditional distributions of probability of the signal from the preceding stage and delivers at the output a digital signal reduced redundancy formed by words of fixed length, namely 4 binary elements per sample.
  • a dual device at reception enables the PCM frame to be recovered and the message to be decoded.
  • the predictor stage usually consists of a filter disposed on a negative feedback loop and delivers a sample x pn predicted from coefficients C (i) derived from the autocorrelation function of the signal to be processed.
  • prediction will be optimum only for a given type of signal and under the provision that this signal is stationary.
  • the speech signal is stationary only for a short time (about 10 ms), so that the coefficients of the predictor should be modified one hundred times per second if an always optimum prediction were desired.
  • a fixed predictor optimized for a speech signal will provide a poor prediction for a data signal.
  • the predictor stage according to the invention further allows the digit rate reduction device to be protected against errors, by an appropriate choice of the coefficients.
  • the predictor stage comprises first means for adding the predicted signal x pn to the decoded or reconstituted difference signal d n from the automatic gain compression stage AGC, said signals x pn and d n being produced during the preceding sampling period T, the resulting value being applied to the input of N shift registers T 1 . . . T i . . . , . . . T N introducing delays respectively equal to T, . . . iT . . . NT and producing N values xe n-1 , xe n-2 , . . .
  • xe n-N which are then respectively multiplied by means of N multiplication circuits with coefficients a 1 , a 2 , . . . a i . . . a N derived during the preceding sampling period and memorized, the resulting N products being added by means of a common addition circuit which supplies the new value x pn predicted for the incoming sample x n , the coefficients a 1 , a 2 , . . . a i , . . .
  • second means substantially comprising N circuits each including means for multiplying the value xe n-1 derived at the output of the respective register Ti with the decoded value e n derived from said quantizing stage after preliminary multiplication by a constant ⁇ .
  • the N coefficients derived by means of the N circuits at each sampling period are applied to the input of the device selecting the quantizing pattern of the quantizer stage and determine a preselection in the type of pattern to allow coding of the information in the quantizer stage.
  • the coefficients a 1 (n+1) are converted into N coefficients a i * (n+1), before being applied both to the input of the quantizing pattern selection device and to the input of the first means of the prediction stage in which they are stored in order to be used during the following sampling period, said conversion being intended to maintain the N coefficients a 1 , a 2 , . . . a i , . . . a N within a limited domain consisting in comparing each coefficient with the edges of said domain and in substituting for any coefficient outside said domain, the coefficient closest to the limit of said domain.
  • the N coefficients a i * (n) maintained within the limited domain are applied to the input of a comparator having fixed values stored therein and deriving with the knowledge of the value a oi (n) the value a oi (n+1) best adapted to the statistical properties of the signal to be processed, a oi (n) representing the ith component of the vector Ao (n) towards which A (n) tends in the absence of signal S at the input of the system, the value a oi (n+1) previously multiplied by a constant ⁇ being applied to the input of the second means of the predictor stage.
  • the N coefficients a 1 * (n) . . . a N * (n) are applied to the input of a second comparator which allows selection of a set of quantizing laws adapted to the statistics of the signal to be processed.
  • FIG. 1 is a general schematic view of the transmission part of a digit rate reduction device with redundancy reduction.
  • FIG. 2 is a detailed view of a preferred embodiment of FIG. 1, in the case of N coefficients.
  • FIG. 3 is a general view, i being any value, of the device 9 for updating the coefficient a i .
  • FIG. 7 schematically shows the reception part of the device according to the invention.
  • the incoming signal S shown in FIG. 1 is a PCM signal resulting from the coding of speech, data or multifrequency signalling signals and is in the form of a PCM frame composed of samples x n . From each sample x n is subtracted a predicted sample x pn supplied by a predictor 1 by means of a subtraction circuit 2 which delivers at the output samples d n indicative of the difference between the value of the incoming sample x n and of the predicted sample x pn supplied from the predictor 1.
  • This predictor stage will be described in a more detailed manner with reference to the following Figures. It mainly enables the PCM input signal S to be replaced by a difference signal d n whose variance is less so as to reduce the number of quantizing steps with equivalent quality.
  • the difference signal d n is applied to the input of an automatic compression stage (AGC) in which the amplitude of the difference signal d n is divided by m by a divider 3, the value m being supplied by a mean power estimator 4 in order to increase the dynamic range of the coder.
  • AGC automatic compression stage
  • the choice of the adapted quantizing curve according to whether the signal to be processed is a data signal or a speech signal is effected by a device 6 which receives the signal e n reconstituted by a dual quantizer 7.
  • the dual quantizer 7 connected within a negative feedback loop receives at its input the signal Y n transcoded by the quantizer 5 and delivers at its output a signal e n identical to the one which is obtained at reception, in the absence of transmission errors.
  • This value d n is applied on the one hand to the predictor 1 of the predictor stage and on the other hand to the mean power estimator 4.
  • the predictor 1 is composed of an adder circuit 10 which receives on the one hand the reconstituted difference signal d n delivered by the compression stage AGC of the negative feedback loop and on the other hand the predicted magnitude x of the sample n.
  • This adder circuit 10 feeds the sum thus calculated for each sample to N memories T 1 , T 2 . . . T N producing respectively a delay by a sampling period T, a delay by two sampling periods . . . up to a delay by N sampling periods.
  • the number N is advantageously between 2 and 8.
  • the values xe n-1 , . . . xe n-n derived at the output of the N memories T 1 . . .
  • T N are multiplied with N coefficients a 1 . . . a N respectively by means of N multiplier circuits M 1 . . . M N .
  • the coefficients a 1 , a 2 . . . a N are supplied by a device 9 which updates the coefficients at each sampling period according to the criterion of the minimum of the mean quadratic error.
  • the device 9 will be described hereinafter with reference to FIG. 3.
  • the values derived from the N multiplier circuits M 1 , M 2 . . . M N are added by means of an adder circuit 11 which delivers at its output the predicted value x pn of the sample x n .
  • the predicted value x pn is applied on the one hand to the input of an adder circuit 2 deriving at the output the difference value d n and on the other hand to the input of the adder circuit 10 as has been explained hereinbefore.
  • the device 9 supplying the coefficients a 1 , a 2 . . . a N makes possible for the predictor 1 to update the predicted value of each sample x pn .
  • the vector A (n+1) of the coefficients is advantageously derived according to the invention by means of the following recursive formula or algorithm for calculating the coefficients.
  • ⁇ is the step of the algorithm
  • a o (n) determines the asymptotic value of the vector A (n) in the absence of signal at the input of the system.
  • a o (n) may take different values depending on that of A (n), i.e. on the statistics of the signal to be processed, as will be explained hereinafter.
  • the device of FIG. 2 therefore receives the values xe n-1 , xe n-2 . . . xe n-N from the memories T 1 , T 2 . . . T N as well as the value d n from the AGC stage at the output of (8).
  • the device 9 is formed by N similar circuits, each delivering a coefficient a i (1 ⁇ i ⁇ N)
  • FIG. 3 shows the ith circuit forming the device 9. It substantially comprises a multiplier circuit 91 receiving the constant ⁇ , derived from a memory 92 as well as the reconstituted value d n supplied by the device 8 of the stage AGC.
  • the value ⁇ d n is multiplied with xe n-1 by means of a multiplication circuit V i .
  • This value xe n-i is derived at the output of the register T i of the predictor 1.
  • the output of the multiplication circuit V i is then added to the value a i * (n-1) stored in a memory Z i , by means of an addition circuit W i .
  • the output of the addition circuit W i is multiplied with the factor (1- ⁇ ) stored in a memory 93 by means of a multiplication circuit U i , the result of said multiplication then being added by means of an addition circuit K i with the ith component a oi (n-1) of the vector A oi (n-1) previously multiplied by the leakage coefficient ⁇ .
  • This value ⁇ a oi (n-1) is supplied by a device 14.
  • the output of the circuit K i is the coefficient a i (n).
  • the N coefficients a i (n) from the device 9 are advantageously applied according to the invention to the input of a comparator 12 before being fed to the predictor 1.
  • the domain of intrinsic stability of the predictor 1 is a limited domain, limited by the values a 1 , a 2 . . . a i . . . a N of the coefficients and determines the rate of decrease of a punctual error of transmission.
  • coefficients are allocated a domain of evolution giving the predictor an intrinsic stability.
  • a rate of decrease of the error ⁇ is arbitrarily fixed (approximately the pulse response is less than 10% of its initial value after 40 sampling periods).
  • the device 12 is a comparator which compares each of the coefficients a 1 (n+1) and a 2 (n+1) with the coefficients a 1 (n+1) and a 2 (n+1) by the coefficients a 1 * (n+1) and a 2 * (n+1) of this closest point located on the triangle. The device 12 therefore transmits: ##EQU1##
  • the localization of the coefficients in the domain of stability makes it possible to recognize the nature of the input signal S (for example speech signal or data signal).
  • the statistical distribution of the vector ⁇ A (n) ⁇ of the coefficients of a speech signal describes a domain P which is for example defined by the straight line L 1 such that a 1 ⁇ 0.9 and a 2 ⁇ 0.
  • the usual statistical distribution of the data signal is such that a 1 ⁇ 0.9.
  • Certain data signals D 1 are such that a 1 ⁇ 0.7 and a 2 ⁇ 0.
  • Other data signals D 2 may, be envisaged such that a 1 ⁇ 0, a 2 >0.
  • the various types of possible signals which may be present at the input correspond to vectors of coefficients A (n) at the output of the device 9 located within the domain of stability but in sectors which do not intersect.
  • the determination of the position of each coefficient vector A* (n) after correction by means of the comparator 12, is used according to the invention in the choice of the quantizing pattern supplied by the quantizer stage (5, 6,7).
  • the device 5 has stored in memory various quantizing patterns both for the speech signals and for the data signals.
  • the switching quantizer systems of the prior art processed solely speech signals, by means of the value e supplied by the dual quantizer 7, and the determination of the appropriate quantizing curve was made solely from the value e n supplied by the device 7.
  • the decision criterion according to the invention is no longer supplied solely by e n but also by the knowledge of A i * (n+1) which unequivocally determines whether it is a speech signal P, a data signal D 1 or D 2 , etc.
  • the device for predicting the coefficients according to the invention further employs the coefficients a oi (n) of the vector A n (n), asymptotic value of the vector A (n) in the absence of signal at the input.
  • a device 14 for selecting the coefficients A o (n) which makes it possible to choose coefficients A o (n) adapted to the statistics of the signal to be processed.
  • This device 14 substantially comprises a memory 141 containing k vectors ⁇ oj of N components and a comparator which compares the vector A o (n-1) previously used as well as the vector of the coefficients A* (n) supplied by the device 12 to the different vectors ⁇ oj suitably chosen in accordance with the statistics of the signal to be processed (data, speech).
  • This device 14 is illustrated in FIG. 3 which illustrates the processing of the ith component of the vector A* (n).
  • the coefficient a i * (n) is applied to the input of a comparator 140 which receives the component ⁇ oij of the vector ⁇ oj contained in the memory 141.
  • the comparator 140 also receives the component a oi (n-1) supplied by a shift register Q i which delays by a time T the value a oi (n) supplied at the output of the comparator 140.
  • the comparator 140 supplies at its output the best adapted value ⁇ oij knowing that a oi (n-1) and a i * (n) have, or have not, a value characteristic of the data or of the speech.
  • the coefficient a oi (n-1) supplied by the register Q i is multiplied by ⁇ stored in the memory 142 due to the multiplication circuit 143, then applied to the input of the addition circuit K i to be added therein to the value supplied by the multiplication circuit U i of the device 9.
  • ⁇ op and ⁇ od will be distinguished according to whether it is a speech signal or a data signal.
  • A* (n+1) with respect to coefficients A* (n) in the domain of stability we may limit ourselves to recognizing the position of a 1 * (n) with respect to two reference values ⁇ op and ⁇ od to know which value a o (n) will be chosen.
  • a 1 * becomes less than 1 it is presumed that it is a data signal and when a 1 * becomes greater than 0.75, it is assumed that it is a speech signal.
  • the sector of the stability triangle of the coefficients included beween the straight lines C 1 and C 2 also makes it possible to derive a o1 (n) due to the knowledge fo a o1 (n-1).
  • a o2 (n) has been chosen to be equal to -0.75 whatever n is, but it would also be possible to update a o2 (n) at each instant.
  • the predictor 1 is composed of the addition circuit 10, registers T 1 and T 2 , multiplication circuits M 1 and M 2 and finally the addition circuit 11.
  • the multiplication circuit M 1 directly receives the non-delayed coefficient xe n whereas the multiplication circuit M 2 receives the coefficient xe n-1 from the register T 1 .
  • a register 15 disposed at the output of the addition circuit 11 delays the coefficient x p (n) at the input of the addition circuit 2.
  • the device 9 which calculates the coefficients a 1 (n) and a 2 (n) receives the polarity of the decoded value e n from the dual quantizer 7 and multiplies it by means of the multiplication circuit 91 with the constant ⁇ stored in the memory 92. In fact, it suffices that the device 9 knows the polarity of e n for calculating the coefficients.
  • the two multiplication circuits V 1 and V 2 multiply the polarity e n respectively with xe n-1 and xe n-2 from the registers T 1 and T 2 of the predictor 1 and supply factors which are then respectively added to the a 1 * (n) and a 2 * (n) previously derived and stored in the memories Z 1 and Z 2 .
  • the outputs of the addition circuits W 1 and W 2 are then multiplied respectively by 1- ⁇ stored in a memory 93 by means of the multiplication circuit U 1 and U 2 .
  • the outputs of the multiplication circuits U 1 and U 2 are then added to the values ⁇ a o1 (n) and ⁇ a o2 (n) respectively by means of the addition circuits K 1 and K 2 .
  • the values ⁇ a o1 (n) and ⁇ a o2 (n) are respectively stored in the memories Q 1 and 94.
  • a 1 (n+1) and a 2 (n+1) are respectively derived and applied to the input of the comparison circuit 12.
  • the coefficient a 1 (n+1) supplied by the addition circuit K 1 is converted into a positive coefficient
  • is then on the one hand applied to the input of a comparator 121, on the other hand subtracted from the coefficient a 2 (n+1) by means of the subtractor circuit 122.
  • the result of the subtraction made by 122 is multiplied by the constant 0.5, read out from the memory 124, by means of a multiplication circuit 123, said result being applied to the input of two addition circuits 126 and 125 with opposite polarities.
  • the addition circuit 126 adds the result derived at the output of the circuit 123 with a constant 0.45 stored in a memory 127.
  • the output of the circuit 126 is applied to the input of the comparator 121 which also receives the constant 1.7 supplied by the memory 128 and the value
  • a comparator 130 receives on the one hand the coefficient a 2 (N+1) and on the other hand the result of the subtraction of the constant 0.45 supplied by the memory 12 and the value from the multiplication circuit 123, said subtraction being effected by the circuit 125.
  • the result of the comparison, more precisely the minimum, effected by the comparator 130 is supplied to the input of a switch circuit 131 which also receives the value 0.8 supplied by the memory 132 and derives at its output the coefficient a 2 * (n+1) which represents indeed the maximum of -0.8 and the value ##EQU3##
  • the coefficients a 1 * (n+1) and a 2 * (n+1), thus possibly corrected to remain within the stability triangle, are applied to the input of the memories Z 1 and Z 2 respectively of the device 9.
  • the memories Z 1 and Z 2 are in fact delay lines which supply the results at the end of a time T, equal to the sampling period, at their output in order to be used for the following sample in the calculation of x p (n+1).
  • the coefficient a 1 * (n+1) from the switch device 129 is also applied to the input of a comparison device 14 which compares a 1 * (n+1) with digital values ⁇ op and ⁇ od stored in a memory 141.
  • the previously calculated coefficient ⁇ a o (n) stored in the memory Q 1 (which is in fact a shift register delaying by a time T), are also applied to the input of the comparator 140 to be compared with the two values ⁇ op and ⁇ od .
  • This comparator 140 supplies at its output a coefficient ⁇ a o1 (n+1) in accordance with the criteria of selection explained with reference to FIG. 4.
  • the coefficient a o1 (n) is then, on the one hand, applied to the input of the addition circuit K 1 and, on the other hand, used by the quantizing stage.
  • the coefficient a 1 * (n) is usually applied to the input of a device 6 for selecting the quantizing pattern of the quantizing stage.
  • the coefficient a o1 (n) is applied to the input of the device 6 without departing from the scope of the invention.
  • a 1 * (n) is employed in the calculation of a o1 (n).
  • the device 6, which in fact is a multiplexer, receives the information e (n-2) and e (n-1) from two demultiplexers 73 and 74.
  • the demultiplexer 74 receives the information e (n-1) from the dual quantizer 7 and delayed by means of the delay line 71.
  • the demultiplexer 73 receives the information e (n-2) from the delay line 71 and delayed again by a time T in the delay line 72.
  • the multiplexer 6 supplies at the output the addresses allowing the signal e n to be suitably quantized in the quantizer 5 according to whether the signal is a data or a speech signal.
  • the quantizer 5 may have stored in memory various quantizing curves for each type of signal: (data D 1 , data D 2 , speech p . . . etc.). It is the multiplexer 6 which supplies the addresses, on the one hand, to the quantizer 5 and, on the other hand, to the dual quantizer 7 placed on the negative feedback loop, to enable it to decode the outgoing Y n .
  • the decoded value e n supplied by the dual quantizer 7 of the quantizer stage is also applied to the input of an AGC device which derives at the output the value m n of the compression rate corresponding to the sample n.
  • This AGC device substantially comprises a first circuit 42 supplying at its output the absolute value
  • This value is then multiplied with the constant C 2 -R stored in the memory 43 by means of the multiplication circuit 44.
  • the output of the circuit 44 is added to the constant (1-2 -R ) stored in the memory 45 by means of an addition circuit 46.
  • the output of the circuit 46 is multiplied with the value m n of the preceding sample supplied by the memory 41 by means of the multiplication circuit 47.
  • the output of the circuit 47 is added to a constant a' 2 -R stored in the memory 48 by means of the addition circuit 49.
  • m n is derived and is applied to the input of the memory 41 in order to be available during the following period.
  • the value m n-1 from the register 41 is introduced into a memory 31 in which it is inverted into 1/m n-1 .
  • the value m n-1 supplied by the memory 41 and the value e (n) supplied by the dual quantizer 7 are multiplied by means of the multiplication circuit 40 and the result d (n) of said multiplication is applied to the input of an addition circuit 10 with the value x p (n) calculated by the predictor system of the invention for the preceding sample.
  • the predictor of FIG. 6 substantially comprises two demultiplication circuits M 1 and M 2 receiving for M 1 the value xe (n) derived at the output of the addition circuit 10 and for M 2 the value xe (n-1) derived at the output of the register T 1 .
  • the values derived at the output of the multiplication circuit M 1 and M 2 respectively by multiplication with a 1 * (n+1) and a 2 * (n+1) are added by means of the addition circuit 11, then the result obtained x p (n+1) is delayed by means of the delay line 15 which feeds the sample x p (n) on the one hand to the input of the addition circuit 2 and on the other hand to the input of the addition circuit 10.
  • Such an embodiment of the predictor makes it possible to calculate in advance x p (n) and consequently to be free from the problem of significant calculating times in practice.
  • the addition circuit 2 effects the difference between the received sample x (n) and the predicted sample x p (n) supplied by the prediction system of the invention and the result d n is multiplied with 1/m n-1 by means of a multiplication circuit 30, which replaces the divider-by-m of FIG. 2, said 1/m n-1 being derived from the read-only memory 31 as previously described.
  • a value e n is obtained which is transcoded by means of a quantizer 5.
  • a signal Y n the bit rate of which is four bits per sample.
  • This signal Y n is transmitted in line and received by means of an identical reception device without it being necessary to transmit on a parallel channel the coefficients of the predictor or the value m of the compression rate. All the parameters are derived, in reception, from the signal Y n transmitted in line by means of the reception device as shown schematically in FIG. 7.
  • the signal Y n is received by the dual quantizer 7 which is addressed by the multiplexer device 6 and supplies at the output a signal e n .
  • This signal e n is applied to the input of a multiplier-by-m circuit 8, m being the compression rate supplied by the mean power estimator 4.
  • the signal d n derived at the output of the device 8 is applied on the one hand to the input of the estimator 4 and on the other hand to the input of the device 9 to enable calculation of the coefficients in accordance with the values xe.sub.(n-i) from the predictor 1.
  • the coefficients a i (n) from the device 9 are corrected by means of the comparator device 12 to maintain them within the domain of stability.
  • the predictor supplies a predicted signal x p (n) at the input of the addition circuit 2, this making it possible to reconstitute a sample xe n similar to the one at emission.
  • This sample xe n is applied at each instant to the input of the predictor 1 and intervenes in the calculation of the following sample.
  • a comparator device 14 makes it possible, in the same way as at transmission, to derive the coefficients a oi (n) corresponding to the absence of signal from the coefficients a oi (n+1) and a i (n).
  • the reception device therefore makes it possible to derive from the signal Y n transmitted in line, the parameters, in the absence of transmission errors, of the transmission end without the necessity for information being sent on an additional channel, the sample xe n being identical, apart from the noise, to x n .
  • the predictor stage of the invention protects the whole redundancy reduction device from transmission errors or even from transcoding errors and gives it a role both of selecting the quantizing pattern of the quantizing stage and of protecting and controlling the evolution of the coefficients themselves.

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  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Detection And Prevention Of Errors In Transmission (AREA)
  • Signal Processing For Digital Recording And Reproducing (AREA)
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JPH03502506A (ja) * 1988-12-12 1991-06-06 イーストマン・コダック・カンパニー 高速データを処理するための方法及び装置
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US5083310A (en) * 1989-11-14 1992-01-21 Apple Computer, Inc. Compression and expansion technique for digital audio data
US5097156A (en) * 1991-04-11 1992-03-17 The United States Of America As Represented By The Secretary Of The Navy Circuitry for compensating for transistor parameter mismatches in a CMOS analog four-quadrant multiplier
US5115241A (en) * 1989-06-09 1992-05-19 Canon Kabushiki Kaisha Predictive coding device with increased resolution
US5220583A (en) * 1988-10-03 1993-06-15 Motorola, Inc. Digital fm demodulator with a reduced sampling rate
US10650682B2 (en) * 2014-10-13 2020-05-12 Continental Automotive Gmbh Communication system for a vehicle and method for communicating

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FR2515901A1 (fr) * 1981-11-04 1983-05-06 Trt Telecom Radio Electr Systeme de transmission mic-differentiel avec prediction adaptative
US4437087A (en) * 1982-01-27 1984-03-13 Bell Telephone Laboratories, Incorporated Adaptive differential PCM coding
CA1288867C (en) * 1985-06-20 1991-09-10 Tomoyoshi Takebayashi Adaptive differential pulse code modulation system
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Also Published As

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EP0024243A1 (fr) 1981-02-25
EP0024243B1 (fr) 1984-03-07
DE3066838D1 (en) 1984-04-12
ATE6562T1 (de) 1984-03-15
FR2463549B1 (enrdf_load_stackoverflow) 1983-01-14
FR2463549A1 (fr) 1981-02-20

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